NCERT Solutions for Class 8 Maths Chapter 5 Exercise 5.3 Square and Square Roots - PDF Download

NCERT solutions for class 8 maths chapter 5 ex 5.3 square and Square roots focuses on Finding the square root means finding a number that has a known square. Similarly, the square root is also the inverse of square, and square roots can be found by repeating the subtraction and prime factorization. These concepts are also explained in detail with appropriate examples in class 8 maths chapter 5 exercise 5.3 NCERT solutions.

Students will also observe that in the square prime factorization, each prime factor appears more than twice as many times as in the original prime factorization. Class 8 maths exercise 5.3 chapter 5 NCERT solutions contains a total of 10 questions which are based on above mentioned concepts. eSaral provides NCERT solutions for class 8 maths. Our PDF format of solutions provides answers to all questions in ex 5.3. The solution guide includes detailed and easy-to-understand steps that help you to understand the question instead of just offering a solution. The PDF is available for free to download from the eSaral website and can significantly enhance your chances of achieving a high score in the CBSE class 8 maths exam.

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Topics Covered in Exercise 5.3 Class 8 Mathematics Questions

Ex 5.3 class 8 maths solutions for chapter 5 squares and square roots is based on some important topics such as finding square roots through repeated subtraction and prime factorization. Check the detailed explanation of these topics as mentioned below.

1. Square Roots - The square root is the inverse operation of squaring. Finding a number with a square is called a Square Root. We denote square roots with the symbol of ‘√’.
2. Finding square roots

• Finding square root through repeated subtraction 

Since we know that each square is the sum of consecutive odd natural numbers beginning with 1, the square root can be found by doing the opposite because roots are the inverse of squares. 

In order to obtain the square root of a given square number, the odd natural numbers beginning with 1 must be subtracted until the remainder is equal to zero.

The number of steps shall be equal to the square root of the square number.

• Finding square root through prime factorisation

In this method, first, we have to find the prime factors of a given number and then we have to make a pair of two same numbers.

Then you need to add one number for each pair and multiply to obtain the square root.

Tips for Solving Exercise 5.3 Class 8 Chapter 5 Square and Square Roots

The NCERT solutions class 8 maths chapter 5 ex 5.3 squares and square roots introduces some new concepts to solve square root questions . Hence, the students must learn the tips for solving questions of ex 5.3.

1. Students often need to study and practice square root concepts. By doing this, they will be able to identify their areas of weakness which they can work on further to strengthen them and be prepared for exercise questions in NCERT solutions class 8 maths chapter 5.
2. It is important for students to learn how to calculate the square roots of numbers because it will help them out in solving questions.
3. Students must go through the examples before solving the ex 5.3 questions.

Importance of Solving Ex 5.3 Class 8 Maths Chapter 5 Square and Square Roots

Here is a list of the benefits of using NCERT solutions for class 8 maths chapter 5 ex 5.3.

1. The solutions provide well-organized examples and solutions to practice questions that encompass all fundamental concepts and topics.
2. Students will be able to solve questions of various levels of difficulty, so they will be fully prepared for the examinations.
3. Students can solve the problems first and then compare their answers to the NCERT solutions provided on eSaral.
4. NCERT solutions for class 8 maths chapter 5 ex 5.3 can provide you with precise answers to their questions to which you can fully rely on.

Frequently Asked Questions

Question 1. What are the two methods of finding square roots mentioned in NCERT solutions class 8 maths chapter 5 ex 5.3?

Answer 1. The two methods of finding square roots are as follows:

1. Finding square root through repeated subtraction
2. Finding square root through prime factorisation

Question 2. How do the NCERT solutions class 8 maths chapter 5 ex 5.3 are helpful?

Answer 2. NCERT solutions are beneficial to students if they are unable to solve the questions from ex 5.3. They will acquire new methods and tips to solve the questions.